73745681760 has 288 divisors, whose sum is σ = 275058830592. Its totient is φ = 17911480320.

The previous prime is 73745681719. The next prime is 73745681833. The reversal of 73745681760 is 6718654737.

73745681760 is a `hidden beast` number, since 7 + 3 + 7 + 4 + 568 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 73745681697 and 73745681706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710292 + ... + 807468.

It is an arithmetic number, because the mean of its divisors is an integer number (955065384).

Almost surely, 2^73745681760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73745681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137529415296).

73745681760 is an abundant number, since it is smaller than the sum of its proper divisors (201313148832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73745681760 is a wasteful number, since it uses less digits than its factorization.

73745681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97246 (or 97235 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 73745681760 in words is "seventy-three billion, seven hundred forty-five million, six hundred eighty-one thousand, seven hundred sixty".